Question

ΔABC is reflected across line L to form Δ ALBLCL, and intersects line L at point D. Which equation is not necessarily true?

Answer 1

Answer:

$A_LD= B_LD$ is false statement.

B is correct

Step-by-step explanation:

$\triangle ABC$ is reflected across line L to form $\triangle A_LB_LC_L$.

If we join A and $A_L$ and intersect line L at point D.

Reflection: A transformation of a geometric figure such that creating a mirror image across the line. The line of reflection is called axis of reflection.

As we know mirror image figure has same property their side measure and angle measure equal.

$\triangle ABC \text{ is congruent to }\triangle A_LB_LC_L$.

Distance of each vertex of figure from axis of reflection line is equal to their corresponding vertex.

Therefore, True statements are:-

$AD=A_LD$

$\angle ACB=\angle A_LC_LB_L$

$\angle BAC=\angle B_LA_LC_L$

$A_LD\neq B_LD$

Please find the attached figure for reflection and coordinates.

Hence, $A_LD= B_LD$ is false statement.

Answer 2

Option 2
ALD=BLD equation is not necessarily true, all other remaining equations satisfy laws of reflection.